


from __future__ import annotations

SCREAMING_SNAKE_CASE							    =							list[list[int]]

# assigning initial values to the grid
SCREAMING_SNAKE_CASE							    =							[
    [3, 0, 6, 5, 0, 8, 4, 0, 0],
    [5, 2, 0, 0, 0, 0, 0, 0, 0],
    [0, 8, 7, 0, 0, 0, 0, 3, 1],
    [0, 0, 3, 0, 1, 0, 0, 8, 0],
    [9, 0, 0, 8, 6, 3, 0, 0, 5],
    [0, 5, 0, 0, 9, 0, 6, 0, 0],
    [1, 3, 0, 0, 0, 0, 2, 5, 0],
    [0, 0, 0, 0, 0, 0, 0, 7, 4],
    [0, 0, 5, 2, 0, 6, 3, 0, 0],
]

# a grid with no solution
SCREAMING_SNAKE_CASE							    =							[
    [5, 0, 6, 5, 0, 8, 4, 0, 3],
    [5, 2, 0, 0, 0, 0, 0, 0, 2],
    [1, 8, 7, 0, 0, 0, 0, 3, 1],
    [0, 0, 3, 0, 1, 0, 0, 8, 0],
    [9, 0, 0, 8, 6, 3, 0, 0, 5],
    [0, 5, 0, 0, 9, 0, 6, 0, 0],
    [1, 3, 0, 0, 0, 0, 2, 5, 0],
    [0, 0, 0, 0, 0, 0, 0, 7, 4],
    [0, 0, 5, 2, 0, 6, 3, 0, 0],
]




def  a   (lowerCAmelCase__		,				lowerCAmelCase__		,				lowerCAmelCase__		,				lowerCAmelCase__   ):
   for i in range(9   ):
      if grid[row][i] == n or grid[i][column] == n:
         return False

   for i in range(3   ):
      for j in range(3   ):
         if grid[(row - row % 3) + i][(column - column % 3) + j] == n:
            return False

   return True




def  a   (lowerCAmelCase__   ):
   for i in range(9   ):
      for j in range(9   ):
         if grid[i][j] == 0:
            return i, j
   return None




def  a   (lowerCAmelCase__   ):
   if location := find_empty_location(lowerCAmelCase__   ):
      __a	,    __a					=  location
   else:
      # If the location is ``None``, then the grid is solved.
      return grid

   for digit in range(1		,				10   ):
      if is_safe(lowerCAmelCase__		,				lowerCAmelCase__		,				lowerCAmelCase__		,				lowerCAmelCase__   ):
         __a					=  digit

         if sudoku(lowerCAmelCase__   ) is not None:
            return grid

         __a					=  0

   return None




def  a   (lowerCAmelCase__   ):
   for row in grid:
      for cell in row:
         print(lowerCAmelCase__		,				end=""" """   )
      print()


if __name__ == "__main__":
  # make a copy of grid so that you can compare with the unmodified grid
  for example_grid in (initial_grid, no_solution):
    print('\nExample grid:\n' + '=' * 2_0)
    print_solution(example_grid)
    print('\nExample grid solution:')
    SCREAMING_SNAKE_CASE							    =							sudoku(example_grid)
    if solution is not None:
      print_solution(solution)
    else:
      print('Cannot find a solution.')




"""simple docstring"""



import warnings

from ...utils import logging
from .image_processing_donut import DonutImageProcessor


SCREAMING_SNAKE_CASE__:Dict									=			logging.get_logger(__name__)






class  snake_case__      (       snake_case_       ):


 def __init__( self    ,		*lowerCamelCase    ,		**lowerCamelCase						):
        warnings.warn(
            "The class DonutFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please"
            " use DonutImageProcessor instead."    ,		lowerCamelCase    ,		)
        super().__init__(*lowerCamelCase    ,		**lowerCamelCase						)
